Engineering Mathematics & Biostatistics

A culture of bacteria is infected with bacteriophage at a muliplicity of 0.3. The probability of a single cell infected with 3 phages is (A)

A cell has five molecules of a rare MRNA. Each cell contains 4 × 10* mRNA molecules. How DNA of the rare mRNA. after making cDNA library from such cell? nany clones one will need to screen to have 99% probability of finding at least one recombinan

The standard deviation for the above results is

In ABO blood group system, antigenic determinants are

Value of the determinant mentioned below is 202 11

What will be the probability of having the colour-blind son to a woman with phenotypically has no previous children) normal parents and a colour-blind brother, and married to a normal man? (Assume that she

What will be the probability of having the colour-blind daughter to a phenotypically man? normal woman, who already had one colour-blind son, and is married to a colour-blind

Variance (Vx) for this population of fruit flies as calculated from the above data shall be

The value of standard deviation (SD) will be

Idiotypic determinants of an antibody are associated with the

While searching a database for similar sequences, E value does NOT depend on the

What is the rank of the following matrix? 5 3 1 6 2 4 14 10 0   

A disease is inherite d by a child with a probability of 1/4. In a family with two children, the probability that exactly one sibling is affected by this disease is

Consider the data set 14, 18, 14, 14, 10, 29, 33, 31, 25. If you add 20 to each of the values, then

The suitable substitution matrix to align closely related sequences is

Match the entries in the Group I with the elution conditions in Group II. Group I Group II P. Ion-exchange chromatography 1. Isocratic solvent Q. Hydrophobic column chromatography 2. Ampholytes R. Gel filtration chromatography 3. Increasing gradient of salt S. Chromatofocusing 4. Decreasing gradient of polarity

The Laplace transform of ݂൅6 is

One percent of the cars manufactured by a compa ny are defective. What is the probability (upto four decimals) that more than two cars are defective, if 100 cars are produced? __________

The number of clones to represent this fragment in genomic library with a probability of 95% are

The eigenvalues of 𝐀𝐀= ቂ1 −4 2 −3ቃ are

ABO blood group antigens in humans are differentiated from each other on the basis of

Which one of the following amino acids has the highest probability to be found on the surface of a typical globular protein in aqueous environment?

[3 0 0 The determinant of the matrix 2 5 6 -8 -60

2x1 + x2 = 3 5x1 + bx2 = 7.5 The system of linear equations in two variables shown above will have infinite solutions, if and only if, b is equal to 2.5

Match the compounds in Group I with the correct entries in Group II Group I Group II P) Cyanide 1) K' ionophore Q) Antimycin A 2) Electron transfer from cytochrome b to cytochrome c R) Valinomycin 3) Fi subunit of ATP synthase S) Aurovertin 5) Adenine nucleotide translocase 4) Cytochrome oxidase

What are the eigenvalues of the matrix [[2, 1], [2, 3]]?

shown below: For a discrete random variable X, ran(X) = (0, 1,2,3) and the cumulative probability F(X) is 3 F(X) 10.5 0.6 08 1.0 The mean value of X is 1.1

The limit of the function (1 + x/n)^n as n → ∞ is:

Choose the CORRECT sequence of steps involved in cytoplast production

If matrix A = [[4, 2], [1, 3]], then the matrix resulting from the polynomial operation A^2 + 3A will be:

ATP biosynthesis takes place utilizing the H+ gradient in mitochondria and chloroplasts. Identify the correct sites of H+ gradient formation.

Which one of the following is NOT an algorithm for building phylogenetic trees?

Cesium chloride density gradient centrifugation is commonly used for the separation of DNA molecules. The buoyant density, ρ, of a double stranded Cs+DNA is given by the equation ρ = 1.66 + 0.098XG+C where XG+C denotes

Runs scored by a batsman in five one-day matches are 55, 75, 67, 88 and 15. The standard deviation is __________________.

The positive Eigen value of the following matrix is ______________. 2 1 5 2       

The Laplace transform F(s) of the function f(t) = cos (at), where a is constant, is _____________.

The value of the integral 0.9 0 (1 )(2 ) dx x x    is _____________________.

Choose the CORRECT combination of True (T) and False (F) statements about microcarriers used in animal cell culture. P. Higher cell densities can be achieved using microcarriers Q. Microcarriers increase the surface area for cell growth R. Microcarriers are used for both anchorage- and nonanchorage-dependent cells S. Absence of surface charge on microcarriers enhances attachment of cells

lim x→0 sin(x) is

For y = f(x), ifd-2 = 0r ax , dy = 0 at x = 0, and y = 1 at x =1, the value of y at x = 2 is